کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617208 1339374 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The finite Hartley new convolutions and solvability of the integral equations with Toeplitz plus Hankel kernels
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The finite Hartley new convolutions and solvability of the integral equations with Toeplitz plus Hankel kernels
چکیده انگلیسی
The main aim of this work is to consider integral equations of convolution type with the Toeplitz plus Hankel kernels firstly posed by Tsitsiklis and Levy (1981) [11]. By constructing eight new generalized convolutions for the finite Hartley transforms we obtain a necessary and sufficient condition for the solvability and unique explicit L2-solution of those equations. Thanks to this convolution approach the solvability condition obtained here is remarkably different from those in Tsitsiklis and Levy (1981) [11] and in other papers.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 2, 15 January 2013, Pages 537-549
نویسندگان
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